Facilitating meaningful discourse directly supports what students should be able to do with respect to the third of the eight Standards for Mathematical Practice (SMP 3) in the Common Core State Standards for Mathematics (NGA Center and CCSSO 2010): "Construct viable arguments and critique the reasoning of others" (p. 6). Following best…

This paper reports on a study of learners' use of immersive spatial diagrams to make arguments about three-dimensional geometric figures. Immersive spatial diagrams allow learners to use the movement of their bodies to control their point of view, while immersed in three-dimensional digital renderings. We present analysis of two pairs of…

A vibrant theory of change capable of fueling critical practice may be an indispensable feature of teaching argument in secondary education. According to the PIE model (Perception, Interpretation, Expression), layers of experience build a cognitive scaffold to support the development of critical skills. In addition, incorporating works of art and…

Scientific argumentation is an essential activity for the development and refinement of scientific knowledge. Additionally, fostering argumentation related to scientific concepts can help students engage in a variety of essential scientific practices and enhance their science content knowledge. With the increasing prevalence and emphasis on…

Inquiry-based learning is a topic of growing interest in the mathematical community. Much of the focus has been on using these methods in calculus and higher-level classes. This article describes the design and implementation of a set of inquiry-based learning activities in a Math for Liberal Arts course at a small, private, Catholic college.…

At the beginning of the 1980s, one of the most striking explanations of conceptual change was made by Posner, Strike, Hewson & Gertzog (1982) with a Conceptual Change Theory based on a Scientific Revolution Theory of Kuhn (1970). In Conceptual Change Theory, learning was explained with the Piaget (1970)'s concepts such as assimilation and…

In this work we explored proof schemes used by 41 middle school students when confronted with four mathematical propositions that demanded verification of accuracy of statements. The students' perception of mathematically complete vs. convincing arguments in different mathematics branches was also elicited. Lastly, we considered whether the…

This article describes a new instructional model called Argument-Driven Inquiry (ADI). This model is designed to promote student engagement in processes of investigation design and scientific argumentation. In this study, the ADI instructional model is compared with a more traditional approach to instruction across 16 laboratory sections of…

Learning is a process of knowledge construction, individually and socially. It has both rational and irrational features. From this stance, the paper reviews an earlier model of conceptual change and its related pedagogical interventions for their inadequate attention to the irrational and social dimensions of learning. More recent developments in…

"Theoretical Foundations of Learning Environments" provides students, faculty, and instructional designers with a clear, concise introduction to the major pedagogical and psychological theories and their implications for the design of new learning environments for schools, universities, or corporations. Leading experts describe the most…

Confronts the social-psychological problem of the relation between values and persons in everyday life. A model meeting the requirements for describing a clear conception of the individual in a social setting, with seven components, is described and used to illustrate what "having values" might mean. Outlines three brief applications. (Editor/RK)

This document is intended to improve the critical viewing skills and increase the understanding and appreciation of what is viewed. Included are the chapters: (1) "Critical Thinking: The Parts of an Argument," intended to develop a process to help a person judge arguments in what is read, seen, and heard; (2) "Critical Viewing:…

The author analyzes some recent developments in the debate over the status of mental imagery. He attempts to specify what a propositional theory is, and considers arguments for and against the imagery position, i.e., whether visual imagery is encoded in terms of properties that are quite spatial and modality specific. (Author/RK)

Describes Riesman's theory of the stages of character development in the social order, and uses his model of three types of personal characteristics to examine the ways in which the concept and function of bibliographic citations in scholarly discourse change over time. (53 notes/references) (CLB)

Theorizing about evaluation should be conceptualized as a human activity governed by certain strategies and principles. The theories advanced by various evaluators have changed over the years, thus illustrating ten principles of evaluation. The starting point for theory development or modification is self-reflection and review of one's own…